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Finding the Fourth Proportional to 131.98, 182.04 and 102.82

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Solution

The fourth proportional to 131.98, 182.04 and 102.82 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.98 : 182.04 = 102.82 : x
  2. Step 2: Convert to fraction form
    131.98/182.04 = 102.82/x
  3. Step 3: Cross multiply
    131.98x = 182.04 × 102.82
  4. Step 4: Simplify right side
    131.98x = 18,717.35
  5. Step 5: Solve for x
    x = 18,717.35/131.98
  6. Step 6: Final answer
    x = 141.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.